Here are some problems to have a better understanding of the properties .
1.The distributive property lets you multiply a sum by multiplying each addend separately and then with mental math.
4 x 53 (4 x 50) + (4 x 3)
200 + 12
212
4 x 53 (4 x 50) + (4 x 3)
200 + 12
212
2.For the commutative property rule of multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2.
3.For addition, the associative property the rule is "a + (b + c) = (a +b) = (a + b) + c"; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4.For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.
4.The Identity property of addition states that the sum of zero and any number or variable is the number or variable itself 4 + 0 = 4, - 11 + 0 = - 11, y + 0 = y . Identity property of multiplication states that the product of 1 and any number or variable is the number or variable itself 4 × 1 = 4, - 11 × 1 = - 11, y × 1 = y .